Tutorial 4 – Operational Research OPR216B 15 June 2021 Question 1 A plant manager has four subordinates, and four tasks to be performed. The subordinates differ in efficiency and the tasks differ in their intrinsic difficulty. This estimate of the times (HOURS) each man would take to perform each task is given in the effectiveness matrix below. Use the assignment method to allocate the tasks to the subordintes. TASK I II III IV A 8 26 17 11 B 13 28 4 26 C 38 19 18 15 D 19 26 24 10 Table 1: Assignment Table [15] Question 2 Krampf Lines Railway Company specializes in coal handling. On Friday, April 13, Krampf had empty cars at the following towns in the quantities indicated: Below is the Costs table, Using a railway city-to-city distance chart, the dispatcher constructs a mileage table for the preceding towns. The result is shown in the table on this page. Minimizing total miles over which cars are moved to new locations, compute the best shipment of coal cars. [20]